UPSC Government Jobs Exams Category

From a class of 12 boys and 10 girls, 10 students are to be chosen for a competition, at least including 4 boys and 4 girls. The 2 girls who won the prizes last year should be included. In how many ways can the selection be made?

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UPSC Other Question

Determine the number of 3 cards combinations out of a deck of 52 cards if at least one of 3 cards is to be spade? An examination paper consists of 12 questions divided in to parts A and B .Part A contains 7 questions and part B contains 5 questions. A candidate is required to attempt 8 questions selecting at least 3 from each part. In how many ways can the candidate select the questions?